Answer:
d = 1.67 miles
Step-by-step explanation:
Given that,
Speed of a person,
We need to find how many miles can you walk in 30 minutes, given the same pace.
30 minutes = 0.5 h
Speed = distance/time
So, the person will cover a distance of 1.67 miles
Hey there!
First, turn the mixed numbers into improper fractions . . .
4 1/2 = 9/2
3 5/6 = 23/6
Now, multiply both numerators and both denominators . . .
9 x 23 = 207
2 x 6 = 12
= 207/12
Simplifying 207/12 . . .
207/12 = 17 1/4
4 1/2 * 3 5/6 = 17 1/4
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Hope this helps, have a wonderful day!
:)
Answer:
a + 8
Step-by-step explanation:
Note that
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy
= a + 2(4) = a + 8
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
8a²b + 3ab² - 9a²b
-a²b + 3ab²